A method of calculation of total strain energy release rate and its layer-wise distribution for an arbitrary through-the-thickness crack extension in a composite laminate

1990 ◽  
Vol 36 (4) ◽  
pp. 639-646 ◽  
Author(s):  
S.K. Maiti ◽  
P.K. Sarkar
2012 ◽  
Vol 178-181 ◽  
pp. 2444-2450
Author(s):  
Chen Cheng ◽  
Shui Wan

Computation of the energy release rate, based on the FEA software ANSYS, with the virtual crack close technique, is studied. To reduce post-processing workload, the spring element is imposed at the cracktip. In practical applications, COMBIN14 spring elements are adopted to set up the finite element model. Then, the numerical analysis method is applied in interface crack. But the calculaed strain energy release rates are pseudo values, and only the total strain energy release rate convergences. At last, two numerical experiments are presented to validate this method. The results show that the calculated values of the total strain energy release rate are well with the theoretical values. This numerical analysis method is an efficient and accurate numerical analysis method.


1964 ◽  
Vol 86 (4) ◽  
pp. 693-697 ◽  
Author(s):  
R. G. Forman ◽  
A. S. Kobayashi

This paper presents theoretical studies on the axial rigidities in strips with circular and elliptical perforations and subjected to uniaxial tension. Greenspan’s original derivations on these axial rigidities [2] were improved by using the elasticity solutions by Howland [6] and Ishida [7] for infinite strips with circular and elliptical perforations, respectively. Finally, the correction factors for centrally notched strips subjected to uniaxial tension were rederived from the above results following the energy approach by Irwin and Kies [3].


Author(s):  
Arash Kheyraddini Mousavi ◽  
Seyedhamidreza Alaie ◽  
Maheshwar R. Kashamolla ◽  
Zayd Chad Leseman

An analytical Mixed Mode I & II crack propagation model is used to analyze the experimental results of stiction failed micro cantilevers on a rigid substrate and to determine the critical strain energy release rate (adhesion energy). Using nonlinear beam deflection theory, the shape of the beam being peeled off of a rigid substrate can be accurately modeled. Results show that the model can fit the experimental data with an average root mean square error of less than 5 ran even at relatively large deflections which happens in some MEMS applications. The effects of surface roughness and/or debris are also explored and contrasted with perfectly (atomically) flat surfaces. Herein it is shown that unlike the macro-scale crack propagation tests, the surface roughness and debris trapped between the micro cantilever and the substrate can drastically effect the energy associated with creating unit new surface areas and also leads to some interesting phenomena. The polysilicon micro cantilever samples used, were fabricated by SUMMIT V™ technology in Sandia National Laboratories and were 1000 μm long, 30 μm wide and 2.6 μm thick.


2021 ◽  
Vol 1046 ◽  
pp. 23-28
Author(s):  
Victor Iliev Rizov

The present paper deals with an analytical study of the time-dependent delamination in a multilayered inhomogeneous cantilever beam with considering of the loading history. The multilayered beam exhibits creep behaviour that is treated by using a non-linear stress-strain-time relationship. The material properties are continuously distributed along the thickness and length of the layers. The external loading is applied in steps in order to describe the loading history. The analysis reveals that during each step of the loading, the strain energy release rate increases with time. The influences of crack length and location on the time-dependent strain energy release rate are also investigated.


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